166203013826304 has 4320 divisors, whose sum is σ = 679395434876928. Its totient is φ = 39283605504000.

The previous prime is 166203013826249. The next prime is 166203013826411. The reversal of 166203013826304 is 403628310302661.

166203013826304 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 0 + 3 + 0 + 1 + 3 + 8 + 2 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 166203013826304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1268725296319 + ... + 1268725296449.

Almost surely, 2^{166203013826304} is an apocalyptic number.

166203013826304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166203013826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339697717438464).

166203013826304 is an abundant number, since it is smaller than the sum of its proper divisors (513192421050624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166203013826304 is a wasteful number, since it uses less digits than its factorization.

166203013826304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 166203013826304 in words is "one hundred sixty-six trillion, two hundred three billion, thirteen million, eight hundred twenty-six thousand, three hundred four".